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Finding the Fourth Proportional to 11,013.84, 16,523.64 and 3,222.54

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Solution

The fourth proportional to 11,013.84, 16,523.64 and 3,222.54 is: 4,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.84 : 16,523.64 = 3,222.54 : x
  2. Step 2: Convert to fraction form
    11,013.84/16,523.64 = 3,222.54/x
  3. Step 3: Cross multiply
    11,013.84x = 16,523.64 × 3,222.54
  4. Step 4: Simplify right side
    11,013.84x = 53,248,090.85
  5. Step 5: Solve for x
    x = 53,248,090.85/11,013.84
  6. Step 6: Final answer
    x = 4,834.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.